Details

Time bar (total: 2.0s)

sample30.0ms

Algorithm
intervals
Results
7.0ms281×body80valid
7.0ms277×body80nan
0.0ms2×body640valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0788
1788

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
6.0ms
(* y (sqrt x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* y (sqrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04965366
14965366

prune61.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39443
Fresh000
Picked011
Done000
Total39544

Merged error: 0.0b

Counts
44 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
13.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05085626

prune90.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh033
Picked011
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt x)) 3))
0.7b
(pow (sqrt (sqrt x)) 3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
48×cbrt-prod
36×add-sqr-sqrt associate-*r*
30×add-cube-cbrt *-un-lft-identity
27×unpow-prod-down cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3 unswap-sqr sqr-pow
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
6.0ms
(* y (sqrt (sqrt x)))
13.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
4.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms
(pow (sqrt (sqrt x)) 3)

series53.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* y (sqrt (sqrt x)))
6.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))
17.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
19.0ms
(pow (sqrt (sqrt x)) 3)

simplify61.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049301054
149301054

prune136.0ms

Filtered
74 candidates to 153 candidates (-106.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1512153
Fresh134
Picked101
Done022
Total1537160

Merged error: 0.0b

Counts
160 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
0.6b
(cbrt (pow x 3/4))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×sqrt-prod
19×associate-*r*
15×add-cube-cbrt *-un-lft-identity
14×cbrt-prod
13×pow1
11×add-exp-log
9×add-cbrt-cube
6×unpow-prod-down
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative sqr-pow
1×pow1/3
Counts
4 → 85
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
11.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
2.0ms
(cbrt (pow x 3/4))

series56.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt x))) (cbrt (pow x 3/4)))
19.0ms
(cbrt (pow x 3/4))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04996778
14996778

prune123.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done022
Total977104

Merged error: 0.0b

Counts
104 → 7

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098
198

end0.0ms

sample844.0ms

Algorithm
intervals
Results
236.0ms8556×body80valid
211.0ms8436×body80nan
1.0ms5×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid

Profiling

Loading profile data...